As explained by Sir Humphrey Appleby in Yes, Prime Minister: the best candidate is a "modernist," i.e. an atheist without saying so (he would lose his stipend). No doubt the same good counsel applies to the Episcopal Church on this side.
The late Nigel Hawthorne was one of my favorite actors of all time. It's hard to believe it was the same man who played such disparate roles as Sir Humphrey, Archdeacon Grantly in the Barchester Chronicles, Georgie Pillson in Map and Lucia and, most movingly for me, C.S. Lewis in Shadowlands on Broadway, of which I was fortunate enough to catch the closing performance in 1991.
(H/t Fr. Rutler)